178
Book III.
AFFINITY.
so that the next lamina has for its superior face the
square B'M'LS (fig. 26.), less by one range in every
direction than the preceding lamina (fig. 25.) This
square must be placed so that the points e,f,g,b,
(fig. 26.) correspond to the points e, f, g, b, (fig. 25.)
Figures 27, 28, 29, and 30, represent the four laminae
which ought to rise successively above the preceding;
the manner of placing them being pointed out by cor
responding letters, as was done with respect to the
three first laminae. The last lamina z (fig. 31.) is a
single cube, which ought to be placed upon the square
2 (fig. 30.)
The laminae of superposition, thus applied upon the
side ABCD (fig. 23.), evidently produce four faces,
which correspond to the points A, B, C, D, and form
a pyramid. These faces, having been formed by la
minae, which began by increasing, and atterwards de
creased, must be quadrilaterals of the figure represented
in fig. 32.; in which the inferior angle C is the same
point with the angle C of the nucleus (fig. 22. and 23.);
and the diagonal LQ represents L'G' of the lamina
AGLK (fig. 25.) And as the number of laminae
composing the triangle LQC (fig. 32.) is much smaller
than that of the laminae forming the triangle ZLQ, it
is evident that the latter triangle will have a much
greater height than the former.
The surface, then, of the secondary crystal thus pro
duced, must evidently consist of 24 quadrilaterals (for
pyramids are raised on the other 5 sides of the primary
cube exactly in the same manner, disposed 3 and 3 a
round each solid angle of the nucleus. But in conse
quence of the decrement by one range, the three qua
drilaterals which belong to each solid angle, as C (fig.